What is the Least Common Multiple of 97847 and 97865?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 97847 and 97865 is 9575796655.
LCM(97847,97865) = 9575796655
Least Common Multiple of 97847 and 97865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97847 and 97865, than apply into the LCM equation.
GCF(97847,97865) = 1
LCM(97847,97865) = ( 97847 × 97865) / 1
LCM(97847,97865) = 9575796655 / 1
LCM(97847,97865) = 9575796655
Least Common Multiple (LCM) of 97847 and 97865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97847 and 97865. First we will calculate the prime factors of 97847 and 97865.
Prime Factorization of 97847
Prime factors of 97847 are 97847. Prime factorization of 97847 in exponential form is:
97847 = 978471
Prime Factorization of 97865
Prime factors of 97865 are 5, 23, 37. Prime factorization of 97865 in exponential form is:
97865 = 51 × 232 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 97847 and 97865.
LCM(97847,97865) = 978471 × 51 × 232 × 371
LCM(97847,97865) = 9575796655
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